{"id":681894,"date":"2023-09-03T11:19:48","date_gmt":"2023-09-03T05:49:48","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/deepa-has-to-buy-a-scooty-she-can-buy-scooty-either-by-making-a-cash-down-payment-of-%e2%82%b9-25000-or-by-making-15-monthly-installments-as-below-1st-month-3425-2nd-month-3225-3rd-month-3025\/"},"modified":"2025-06-20T13:27:12","modified_gmt":"2025-06-20T07:57:12","slug":"deepa-has-to-buy-a-scooty-she-can-buy-scooty-either-by-making-a-cash-down-payment-of-%e2%82%b9-25000-or-by-making-15-monthly-installments-as-below-1st-month-3425-2nd-month-3225-3rd-month-3025","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/deepa-has-to-buy-a-scooty-she-can-buy-scooty-either-by-maki\/","title":{"rendered":"Deepa has to buy a scooty. She can buy scooty either by making a cash down payment of \u20b9 25,000 or by making 15 monthly installments as below. 1st month -3425, 2nd month-3225, 3rd month -3025, 4th month -2825, and so on. Find the total amount paid in 15 installments."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Deepa has to buy a scooty. She can buy scooty either by making a cash down payment of \u20b9 25,000 or by making 15 monthly installments as below. 1st month -3425, 2nd month-3225, 3rd month -3025, 4th month -2825, and so on. Find the total amount paid in 15 installments.","custom_permalink":"question\/mathematics\/deepa-has-to-buy-a-scooty-she-can-buy-scooty-either-by-maki\/"},"categories":[],"acf":{"question":"

Deepa has to buy a scooty. She can buy scooty either by making a cash down payment of \u20b9 25,000 or by making 15 monthly installments as below. <\/span><\/p>

1st month <\/span>-<\/mo>3425<\/mn><\/math>, 2nd month<\/span>-<\/mo>3225<\/mn><\/math>, 3rd month <\/span>-<\/mo>3025<\/mn><\/math>, 4th month <\/span>-<\/mo>2825<\/mn>,<\/mo><\/math> and so on. Find the total amount paid in <\/span>15<\/mn><\/math> installments.<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\"><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\">","options":[{"option":"\u20b9<\/span>30375<\/mn><\/math>","correct":true},{"option":"\u20b9<\/span>20355<\/mn><\/math>","correct":false},{"option":"\u20b9<\/span>20757<\/mn><\/math>","correct":false},{"option":"\u20b9<\/span>25252<\/mn><\/math> <\/span>","correct":false}],"solution":"Given that, Deepa has to buy a scooty. She can buy scooty either making cash down payment of \u20b9 25,000 or by making 15 monthly instalments as below.<\/span>
1st month <\/span>-<\/mo>3425<\/mn><\/math>, 2nd month<\/span>-<\/mo>3225<\/mn><\/math>, 3rd month <\/span>-<\/mo>3025<\/mn><\/math>, 4th month <\/span>-<\/mo>2825<\/mn>,<\/mo><\/math> and so on. <\/span>
Here the common difference between instalments is,<\/span>
d = 3225 \u2013 3425<\/span>
d = -200<\/span>
If a is the first term, d is the common difference, the sum of the first n terms is given by,<\/span>
S<\/mi>=<\/mo>n<\/mi><\/mrow>2<\/mn><\/mrow><\/mfrac>2<\/mn>a<\/mi>+<\/mo>n<\/mi>-<\/mo>1<\/mn><\/mrow><\/mfenced>d<\/mi><\/mrow><\/mfenced><\/math> <\/span>Let us find the amount paid in 15 installments.<\/span>
Here, a = 3425<\/span>
d = -200<\/span>
n = 15<\/span>
Calculate the total amount paid in 15 installments.<\/span>
S<\/mi>=<\/mo>n<\/mi><\/mrow>2<\/mn><\/mrow><\/mfrac>2<\/mn>a<\/mi>+<\/mo>n<\/mi>-<\/mo>1<\/mn><\/mrow><\/mfenced>d<\/mi><\/mrow><\/mfenced><\/math> <\/span>\u21d2<\/mo>S<\/mi>=<\/mo>15<\/mn><\/mrow>2<\/mn><\/mrow><\/mfrac>2<\/mn>\u00d7<\/mo>3425<\/mn>+<\/mo>15<\/mn>-<\/mo>1<\/mn><\/mrow><\/mfenced>\u00d7<\/mo>-<\/mo>200<\/mn><\/mrow><\/mfenced><\/mrow><\/mfenced><\/math> <\/span>\u21d2<\/mo>S<\/mi>=<\/mo>15<\/mn><\/mrow>2<\/mn><\/mrow><\/mfrac>6850<\/mn>-<\/mo>2800<\/mn><\/mrow><\/mfenced><\/math> <\/span>\u21d2<\/mo>S<\/mi>=<\/mo>\u20b9<\/mi>30375<\/mn><\/math> <\/span>So, the total amount paid by Deepa is \u20b930375.<\/span>
Hence, option (1) is correct.<\/span>
 <\/span>","subject":"Mathematics"},"yoast_head":"\nDeepa has to buy a scooty. She can buy scooty either by making a cash down payment of \u20b9 25,000 or by making 15 monthly installments as below. 1st month -3425, 2nd month-3225, 3rd month -3025, 4th month -2825, and so on. Find the total amount paid in 15 installments. - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Deepa has to buy a scooty. She can buy scooty either by making a cash down payment of \u20b9 25,000 or by making 15 monthly installments as below. 1st month -3425, 2nd month-3225, 3rd month -3025, 4th month -2825, and so on. 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